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Finding the Fourth Proportional to 9,744.88, 14,611.92 and 4,803.88

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Solution

The fourth proportional to 9,744.88, 14,611.92 and 4,803.88 is: 7,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.88 : 14,611.92 = 4,803.88 : x
  2. Step 2: Convert to fraction form
    9,744.88/14,611.92 = 4,803.88/x
  3. Step 3: Cross multiply
    9,744.88x = 14,611.92 × 4,803.88
  4. Step 4: Simplify right side
    9,744.88x = 70,193,910.25
  5. Step 5: Solve for x
    x = 70,193,910.25/9,744.88
  6. Step 6: Final answer
    x = 7,203.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.